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LCM of 936, 204, 273, 700, 135

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 936, 204, 273, 700, 135 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 936, 204, 273, 700, 135. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 936,204,273,700,135

Given numbers are 936,204,273,700,135

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 936,204,273,700,135 is 8353800.

Find LCM of 936,204,273,700,135 with Prime Factorization


2 936, 204, 273, 700, 135
2 468, 102, 273, 350, 135
3 234, 51, 273, 175, 135
3 78, 17, 91, 175, 45
5 26, 17, 91, 175, 15
7 26, 17, 91, 35, 3
13 26, 17, 13, 5, 3
2, 17, 1, 5, 3

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 3 x 5 x 7 x 13 x 2 x 17 x 1 x 5 x 3 = 8353800

Therefore, the lowest common multiple of 936,204,273,700,135 is 8353800.

LCM Formula to Find Lowest Common Multiple of 936,204,273,700,135

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

936 x 204 x 273 x 700 x 135 = 4926068784000

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

273 : 1, 3, 7, 13, 21, 39, 91, 273

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

135 : 1, 3, 5, 9, 15, 27, 45, 135

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,204,273,700,135, is 1.

Now, the common factors can be found like this.

936:2x 2x 2x 3x 3x 13

204:2x 2x 3x 17

273:3x 7x 13

700:2x 2x 5x 5x 7

135:3x 3x 3x 5

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 3x 3x 3x 3x 5x 7x 13 = 589680

Therefore, the value for common factors is 589680.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 4926068784000/(1x589680)

LCM = 4926068784000/589680

LCM = 8353800

Thus, we can understand that the LCM of 936,204,273,700,135 is 8353800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 936, 204, 273, 700, 135

1. What is the LCM of 936, 204, 273, 700, 135?

Answer: LCM of 936, 204, 273, 700, 135 is 8353800.

2. How to calculate the LCM of 936, 204, 273, 700, 135?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 936, 204, 273, 700, 135.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.